Given the function fx 3x 2 Find an equation of the secant l
Given the function f(x) = 3x +2. Find an equation of the secant line passing through the points x = -1 and x = 0.
(write your answer in the form y = mx + b ).
Solution
for x=-1 ; f(-1) = 3(-1) +2 = -1
for x=0 ; f(0) = 2
We have two points: ( -1. -1) and ( 0,2)
Slope of line passing throwugh these two points : m = (2 +1)/(0+1) = 3
y = mx+c ---> y = 3x+c
-1 = -3 +c
c=2
So, eqution of secant : y = 3x +2

